Characterizing the distribution of safety occurrences in aviation: An approach using extreme value theory

Transportation Research Record

Volumn , Issue 2106, 2009, Pages 129-140

  Panagiotakopoulos, Dimitri ^a   Majumdar, Arnab ^a   Ochieng, Washington ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AIR NAVIGATION; STATISTICAL TESTS; STATISTICS;

AIR NAVIGATION SERVICE PROVIDERS; AIR TRAFFICS; AIR TRAVELS; AVIATION SAFETY; EXTREME VALUE THEORY; INCIDENT DATA; SAFETY ANALYSIS; STATISTICAL TESTING; TESTING ANALYSIS; TREND ANALYSIS;

POISSON DISTRIBUTION;

EID: 76249092253     PISSN: 03611981     EISSN: None     Source Type: Journal    
DOI: 10.3141/2106-15     Document Type: Article

References (20)

1. EUROCONTROL. Performance Review Commission, Performance Review Report Covering the Calendar Year 2007. PRR 2007. EUROCONTROL, Brussels, Belgium, 2007.
2. EUROCONTROL. Long-Term Forecast: IFR Flight Movements 2006-2025. DAP/DIA/STATFOR Doc216. EUROCONTROL, Brussels, Belgium, 2006.
3. SESAR Consortium. Air Transport Framework, the Performance Target, SESAR Definition Phase, Deliverable 2. 2007. www.atceuc.org/upload/ ATC-EUC/SESAR-Documents/70/sesar-definition-phase-d2-the-airtransport- framework-performance-target.pdf. Accessed April 23, 2009.
4. International Standards and Recommended Practices Annex 13, Aircraft Accident and Incident Investigation. International Civil Aviation Organization, Montreal, Quebec, Canada, 2001.
5. Broach, D., and D. J. Schroeder. Relationship of Air Traffic Control Specialist Age to en Route Operational Errors. DOT/FAA/AM-05/22. Office of Aerospace Medicine, Washington, D.C., 2005.
6. Cameron, A. C., and P. K. Trivedi. Regression Analysis of Count Data. Cambridge University Press, New York, 1998.
7. Barnett, A., and M. K. Higgins. Airline Safety: The Last Decade. Management Science, Vol.35, No.1, 1989, pp. 1-21.
8. Rose, N. L. Profitability and Product Quality: Economic Determinants of Airline Safety Performance. Journal of Political Economy, Vol.98, No.5, Part 1, 1990, pp. 944-964.
9. Sakamoto, C. M. Application of the Poisson and Negative Binomial Models to Thunderstorm and Hail Days Probabilities in Nevada. National Weather Service. Monthly Weather Review, Vol.101, No.4, 1973, pp. 350-355.
10. Piegorsch, W. W. Maximum-Likelihood Estimation for the Negative Binomial Dispersion Parameter. Biometrics, Vol.46, 1990, pp. 863-867.
11. Lawless, J. F. Negative Binomial and Mixed Poisson Regression. The Canadian Journal of Statistics, Vol.15, 1987, pp. 209-225.
12. Margolin, B. H., B. S. Kim, and K. J. Risko. The Ames Salrnonella/Microsome Mutagenicity Assay: Issues of Inference and Validation. Journal of the American Statistical Association, Vol.84, 1989, pp. 651-661.
13. Bingham, N. H. Regular Variation and Probability: The Early Years. Journal of Computational and Applied Mathematics, Vol.200, 2007, pp. 357-363.
14. Panagiotakopoulos, D. Robust Statistical Framework for Monitoring the Integrity of Space-Based Navigation Systems. PhD thesis. Imperial College, London, 2008.
15. Tarko, A. P., and P. Songchitruksa. Estimating Frequency of Crashes as Extreme Traffic Events. Presented at 84th Annual Meeting of the Transportation Research Board, Washington, D.C., 2005.
16. Embrechts, P., C. Kluppelberg, and T. Mikosch. Modelling Extremal Events for Insurance and Finance. Springer, Berlin, 1997.
17. Fisher, R. A., and L. H. C. Tippett. Limiting Forms of the Frequency Distribution of the Largest or Smallest Member of a Sample. Proceedings of the Cambridge Philosophical Society, Vol.24, 1928, pp. 180-190.
18. Jenkinson, A. F. The Frequency Distribution of the Annual Maximum (or Minimum) Values of Meteorological Elements. Quarterly Journal of the Royal Meteorological Society, Vol.81, 1955, pp. 158-171.
19. Stephens, M. A. Goodness-of-Fit for the Extreme Value Distribution. Biometrika, Vol.64, 1977, pp. 583-588.
20. Stute, W., G. Manteiga, and M. P. Quindimil. Bootstrap-Based Goodnessof- Fit Tests, Metrika, Vol., 40, 1993, pp. 243-256.